Lesson Worksheet: Magnitude of a 2D Vector Mathematics

In this worksheet, we will practice determining the magnitude of two-dimensional vectors.

Question 1

What is the magnitude of the vector 𝐴𝐵, where 𝐴=(5,9) and 𝐵=(9,1)?

  • A4
  • B10
  • C14
  • D116
  • E229

Question 2

What is the magnitude of the vector 5,12?

Question 3

Given that v=8,15, find the value of ||v.

Question 4

What is the magnitude of the vector 4,5?

  • A41
  • B4
  • C41
  • D5
  • E1

Question 5

Given that v=3,1, find the value of ||v.

  • A2
  • B3
  • C10
  • D1
  • E10

Question 6

Given that v=0.6,0.8, find the value of ||v.

Question 7

What is the magnitude of the vector 𝐴𝐵 where 𝐴=(11,3) and 𝐵=(7,3)?

Question 8

Which of the following is the mathematical notation used to express the magnitude of a vector v?

  • Am()v
  • Bmag()v
  • C[]v
  • D||v
  • Êv

Question 9

The vector v is shown on the grid of unit squares below. Find the value of ||v.

Question 10

The vector v is shown on the grid of unit squares below. Find the value of ||v.

This lesson includes 46 additional questions and 136 additional question variations for subscribers.

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